Interplay among the azimuthally dependent HBT radii and the elliptic flow

TL;DR

This paper investigates how elliptic flow and azimuthally dependent HBT radii are influenced by flow and spatial anisotropies within an extended Buda-Lund model, providing a method to extract model parameters from data.

Contribution

It introduces a generalized Buda-Lund model that links azimuthal variations of HBT radii and elliptic flow to flow and space anisotropies, with a simple parameter extraction procedure.

Findings

Elliptic flow depends solely on flow anisotropy.

Correlation radii are affected by both flow and space anisotropies.

A straightforward method to determine model parameters from experimental data.

Abstract

We present a calculation of the elliptic flow and azimuthal dependence of the correlation radii in the ellipsoidally symmetric generalization of the Buda-Lund model. The elliptic flow is shown to depend only on the flow anisotropy while in case of correlation radii both flow and space anisotropy play an important role in determining their azimuthal oscillation. We also outline a simple procedure for determining the parameters of the model from data.